{"paper":{"title":"The Plateau-Rayleigh instability in solids is a simple phase separation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph","physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Chen Xuan, John S. Biggins","submitted_at":"2017-01-13T21:31:41Z","abstract_excerpt":"A long elastic cylinder, radius $a$ and shear-modulus $\\mu$, becomes unstable given sufficient surface tension $\\gamma$. We show this instability can be simply understood by considering the energy, $E(\\lambda)$, of such a cylinder subject to a homogenous longitudinal stretch $\\lambda$. Although $E(\\lambda)$ has a unique minimum, if surface tension is sufficient ($\\Gamma\\equiv\\gamma/(a\\mu)>\\sqrt{32}$) it looses convexity in a finite region. We use a Maxwell construction to show that, if stretched into this region, the cylinder will phase separate into two segments with different stretches $\\lam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03832","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}